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Finding the Fourth Proportional to 382,205, 573,308.70 and 115,967.72

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Solution

The fourth proportional to 382,205, 573,308.70 and 115,967.72 is: 173,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,205 : 573,308.70 = 115,967.72 : x
  2. Step 2: Convert to fraction form
    382,205/573,308.70 = 115,967.72/x
  3. Step 3: Cross multiply
    382,205x = 573,308.70 × 115,967.72
  4. Step 4: Simplify right side
    382,205x = 66,485,302,795.16
  5. Step 5: Solve for x
    x = 66,485,302,795.16/382,205
  6. Step 6: Final answer
    x = 173,951.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.